## L63FM Lessons & Blog

### Topic Tests

### Vectors - Intersection of Line and Plane

**Lesson Objective:**

To be able to find the intersection of a line and a plane.

### Vectors

**Lesson Objectives:**

To be able to:

- Convert between Cartesian and vector forms of line.
- Solve line intersection problems.

### Induction

**Lesson Objectives:**

To be able to prove by induction:

- Summation results.
- Divisibility results.
- Matrices results.

### Summation of Standard Series and Induction

**Lesson Objectives for Week:**

To be able to:

- Sum standard series
- Understand the basics of proof by induction.

### Modulus - Argument Form

**Lesson Objectives:**

To be able to:

- Convert complex numbers between x +yj and modulus-argument form
- Draw the locus of a set of points defined by an argument relationship.

### Complex Numbers - Sets of Points

**Lesson Objective:**

To be able to represent points of numbers on an Argand diagram when given inequalities such as (z - z_{1}) <= 3

Exercise 2D

### Complex Numbers

**Lesson Objective:**

To be able to:

- Manipulate complex numbers
- Solve equations by equating Re and Im parts

Exercise 2B

### Introduction to Complex Numbers

**Lesson Objectives:**

To be able to:

- Add, subtract, multiply and divide complex numbers.
- Recognise z, z
^{*}, Re(z), Im(z) - Represent complex numbers on an Argand diagram.
- Solve any quadratic equation with real coefficients.

### Invariant Points

**Lesson Objective:**

To be able to find the equation of the line of invariant points for a given transformation matrix.

### Inverse of 3 x 3 Matrix

**Lesson Objective:**

To be able to calculate the inverse of a 3 x 3 matrix both manually and on a Classwiz calculator.

### Matrices - Inverses

**Lesson Objectives:**

To be able to:

- Know when a matrix has an inverse.
- Find the inverse of a 2x2 matrix.
- Solve simultaneous linear equations by matrix methods.

### Introduction to Matrices

Lesson Objectives:

To be able to:

- Recognise when matrices can be added, subtracted and multiplied.
- Identify transformation matrices for reflections and rotations.

### Edexcel AS Further Mathematics Specification

AS Further Mathematics Specification

This document determines our work between Sep 17 - May 18.

## L63FM HOMEWORK

### Vectors

Please complete and hand in tomorrow the first two questions from:

http://mei.chosenhill.org/solutions/revision/C4RevisionVectorsQuestions.pdf

### Matrices

Please complete and self mark Exercise 1G on pages 39 and 40.

Also complete the FM Baseline Test and hand in next Monday.

### Matrices

For Friday please complete:

Question 1 of FP1 Jan 05 You will need to know that a transformation by matrix **A **multiplies areas by det **A**